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Finding the Fourth Proportional to 31,657.64, 43,687.46 and 18,224

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Solution

The fourth proportional to 31,657.64, 43,687.46 and 18,224 is: 25,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.64 : 43,687.46 = 18,224 : x
  2. Step 2: Convert to fraction form
    31,657.64/43,687.46 = 18,224/x
  3. Step 3: Cross multiply
    31,657.64x = 43,687.46 × 18,224
  4. Step 4: Simplify right side
    31,657.64x = 796,160,271.04
  5. Step 5: Solve for x
    x = 796,160,271.04/31,657.64
  6. Step 6: Final answer
    x = 25,149.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.